Euler's Method: Example

Example: Consider the autonomous differential equation with the initial condition

.

1.

Find

.

Hint: You may want to sketch the Slope Fields of this differential equation

2.

Find the first five terms of the Euler Approximation when .

3.

Is there a contradiction between the results of 1 and 2 ? If yes, explain what happened.

Solution:

[Differential Equations] [Euler's Method] [Geometry] [Algebra] [Trigonometry ] [Calculus] [Complex Variables] [Matrix Algebra]

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